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Finding the Fourth Proportional to 789.50, 1,182.90 and 666.92

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Solution

The fourth proportional to 789.50, 1,182.90 and 666.92 is: 999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.50 : 1,182.90 = 666.92 : x
  2. Step 2: Convert to fraction form
    789.50/1,182.90 = 666.92/x
  3. Step 3: Cross multiply
    789.50x = 1,182.90 × 666.92
  4. Step 4: Simplify right side
    789.50x = 788,899.67
  5. Step 5: Solve for x
    x = 788,899.67/789.50
  6. Step 6: Final answer
    x = 999.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.